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Professor Nick Woodhouse
- Professor of Mathematics
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Fellow of Wadham College
Personal Web Page
eMail:
Nick [dot] Woodhouse [-at-] maths [dot] ox [dot] ac [dot] uk
Contact Form
Phone Number(s):
Reception/Secretary: +44 1865 273525
Direct: +44 1865 273525
Preferred Address:
Mathematical Institute
24-29 St Giles'
Oxford OX1 3LB, U.K.
Departmental Address:
Mathematical Institute
24-29 St Giles'
Oxford
OX1 3LB
England
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Research Interests:
Twistors
and the isomonodromy deformation
problem. Isomonodromic deformations of
systems of ordinary differential equations
play a central part in our understanding of
the complex geometry of integrable systems,
and also reveal connections, through the
theory of Frobenius manifolds, between twistor
theory and quantum field theory.
Twistor theory was developed by Roger Penrose. His original aim was to find a route to the quantization of gravity. The underlying mathematical ideas have proved to have rich applications in geometry and in the analysis of integrable systems.
Geometric quantization is a general framework for constructing quantum systems from their classical counterparts, starting from the symplectic geometry of the classical phase space. The theory is described in Geometric quantization (second edition, Oxford University Press, 1992).
General relativity
Recent Publications (from MathSciNet):
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MR2727805 (2012b:32031) Shah, M. R.; Woodhouse, N. M. J. Multivariate hypergeometric cascades, isomonodromy problems and Ward
ansätze.
J. Phys. A 43 (2010), no. 43, 434031, 16 pp. (Reviewer: Ian A. B. Strachan), 32L25 (33C65 34M56)
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MR2584019 (2010j:70001) Woodhouse, N. M. J. Introduction to analytical dynamics.
New edition.
Springer Undergraduate Mathematics Series. Springer-Verlag London, Ltd., London, 2009. xiv+240 pp. ISBN: 978-1-84882-815-5, 70-01 (37Jxx)
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MR2287297 (2008g:53024) Woodhouse, N. M. J. Duality for the general isomonodromy problem.
J. Geom. Phys. 57 (2007), no. 4, 1147–1170, 53C07 (34M55 37J05 53D30)
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MR2268691 (2007i:83003) Woodhouse, N. M. J. General relativity.
Springer Undergraduate Mathematics Series. Springer-Verlag London, Ltd., London, 2007. x+219 pp. ISBN: 978-1-84628-486-1; 1-84628-486-4 (Reviewer: Giovanni Preti), 83-01
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MR2266225 (2008f:34242) Shah, M. R.; Woodhouse, N. M. J. Painlevé VI, hypergeometric hierarchies and Ward ansätze.
J. Phys. A 39 (2006), no. 39, 12265–12269, 34M55 (32G34 33E17 81T13)
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MR2220914 (2007b:32036) Woodhouse, N. M. J. Two twistor descriptions of the isomonodromy problem.
J. Phys. A 39 (2006), no. 15, 4087–4093. (Reviewer: Ian A. B. Strachan), 32L25 (53C28 81R25)
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MR2085662 (2005d:37123) Sanguinetti, G.; Woodhouse, N. M. J. The geometry of dual isomonodromic deformations.
J. Geom. Phys. 52 (2004), no. 1, 44–56. (Reviewer: Ignasi Mundet-Riera), 37J35 (14H70 34M55)
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MR2042696 (2005b:53078) Woodhouse, N. M. J. Twistor theory for integrable systems.
Geometry and integrability,
97–134, London Math. Soc. Lecture Note Ser., 295, Cambridge Univ. Press, Cambridge, 2003. (Reviewer: Ian A. B. Strachan), 53C28 (32L25 37K10)
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MR1976416 (2004c:83008) Woodhouse, N. M. J. Special relativity.
Springer Undergraduate Mathematics Series. Springer-Verlag London, Ltd., London, 2003. x+191 pp. ISBN: 1-85233-426-6 (Reviewer: Hans P. Künzle), 83A05 (70H40)
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MR1937651 (2004b:37146) Mason, L. J.; Singer, M. A.; Woodhouse, N. M. J. Tau-functions, twistor theory, and quantum field theory.
Comm. Math. Phys. 230 (2002), no. 3, 389–420. (Reviewer: J. Dorfmeister), 37K10 (32L25 81R12 81R25 81T40)
More publications
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